The magnetic SANS cross section \(d \Sigma _{\mathrm {M}} / d \Omega \)  [Eq. (REF )] depends on both the magnitude \(q\)  and the orientation \(\theta \)  of the scattering vector \(\mathbf {q}\)  on the two-dimensional detector. The origin of its angular anisotropy (\(\theta \)  dependence) is twofold [1]}: (i) the trigonometric functions in Eq. (REF ) are due to the dipolar interaction between the magnetic moment of the neutron and the magnetization of the sample, while (ii) the Fourier components \(\widetilde{M}_{x,y,z}\)  may additionally depend on the angle \(\theta \)  via the intrinsic dipolar interaction between the magnetic moments comprising the sample. Variation of the external magnetic field strength changes the relative contributions of the \(\widetilde{M}_{x,y,z}\)  to \(d \Sigma _{\mathrm {M}} / d \Omega \)  and also their angular anisotropy [compare, e.g., Eq. (REF )].
